{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "funky-greece",
   "metadata": {},
   "source": [
    "# 讨论 Rb87 超精细结构 Zeeman 效应"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fluid-pursuit",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import numpy.linalg as linalg\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import scipy.constants as const\n",
    "\n",
    "plt.style.use(\"ggplot\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "received-bargain",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 能量取单位为 h，约化为频率，取频率单位为 GHz\n",
    "\n",
    "# constants memo\n",
    "Ah = {\"s_1/2\": 3.4173,\"p_1/2\":408.328e-3, \"p_3/2\":84.7185e-3}\n",
    "Bh = {\"p_3/2\":12.4965e-3}\n",
    "\n",
    "mu_B = const.physical_constants[\"Bohr magneton\"][0]\n",
    "gi = -9.951414e-4\n",
    "gj = {\"s_1/2\":2.0023,\"p_1/2\":0.666, \"p_3/2\":1.3362}\n",
    "# 处于方便，定义 bi, bj\n",
    "g2b = lambda x: x * mu_B /const.h / 1e9\n",
    "bi = g2b(gi) \n",
    "bj = {i:g2b(gj[i]) for i in gj}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "after-shell",
   "metadata": {},
   "source": [
    "## S_1/2 态 和 P_1/2 态\n",
    "$\\frac12 \\otimes \\frac32$   \n",
    "此时 $B_h = 0$, 从而\n",
    "$$\n",
    "H_{hfs} = A_h \\vec I \\cdot \\vec J\n",
    "$$\n",
    "为方便，记：\n",
    "$$\n",
    "\\begin{cases}\n",
    "b_I = \\mu_B g_I \\\\ \n",
    "b_J = \\mu_B g_J \n",
    "\\end{cases}\n",
    "$$\n",
    "注意 C-G 系数的特点, 在耦合表象下 $H_{hfs} + H_B$ 是分块对角的  \n",
    "有：\n",
    "$$\n",
    "M_1 = \n",
    "\\begin{bmatrix}\n",
    "\\frac34 A_h + (\\frac32 b_I +\\frac12 b_J) B & 0\\\\\n",
    "0 & \\frac34 A_h - (\\frac32 b_I +\\frac12 b_J) B \n",
    "\\end{bmatrix}\n",
    "$$\n",
    "$$\n",
    "M_2 = \n",
    "\\begin{bmatrix}\n",
    "\\frac34 A_h + (\\frac34 b_I +\\frac14 b_J) B & \\frac{\\sqrt 3}{4}(b_I - b_J) B\\\\\n",
    "\\frac{\\sqrt 3}{4}(b_I - b_J) B & -\\frac54 A_h + (\\frac54 b_I - \\frac14 b_J) B \n",
    "\\end{bmatrix}\n",
    "$$\n",
    "$$\n",
    "M_3 = \n",
    "\\begin{bmatrix}\n",
    "\\frac34 A_h & \\frac12(b_I-b_J) B\\\\\n",
    "\\frac12(b_I-b_J) B & -\\frac54 A_h \n",
    "\\end{bmatrix}\n",
    "$$\n",
    "$$\n",
    "M_4 = \n",
    "\\begin{bmatrix}\n",
    "\\frac34 A_h - (\\frac34 b_I +\\frac14 b_J) B & \\frac{\\sqrt 3}{4}(b_I - b_J) B\\\\\n",
    "\\frac{\\sqrt 3}{4}(b_I - b_J) B & -\\frac54 A_h - (\\frac54 b_I - \\frac14 b_J) B \n",
    "\\end{bmatrix} \\\\\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "micro-intranet",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 首先考虑 S_1/2 情况\n",
    "def E_frac12(B,s):\n",
    "    Ah_l = Ah[s+\"_1/2\"]\n",
    "    bj_l = bj[s+\"_1/2\"]\n",
    "    E = np.zeros(8)\n",
    "    E[0], E[1] = 3/4*Ah_l + (3*bi+bj_l)/2*B, 3/4*Ah_l - (3*bi+bj_l)/2*B\n",
    "    M2 = np.array([[3/4*Ah_l + (3*bi+bj_l)/4*B, np.sqrt(3)/4*(bi-bj_l)*B],\n",
    "                    [np.sqrt(3)/4*(bi-bj_l)*B,-5/4*Ah_l + (5*bi-bj_l)/4*B]])\n",
    "    E[2], E[3] = linalg.eigvalsh(M2)\n",
    "    \n",
    "    M3 = np.array([[3/4*Ah_l, (bi-bj_l)/2*B],\n",
    "                  [(bi-bj_l)/2*B, -5/4*Ah_l]])\n",
    "    E[4],E[5] = linalg.eigvalsh(M3)\n",
    "    \n",
    "    M4 = np.array([[3/4*Ah_l - (3*bi+bj_l)/4*B, np.sqrt(3)/4*(bi-bj_l)*B],\n",
    "                    [np.sqrt(3)/4*(bi-bj_l)*B,-5/4*Ah_l - (5*bi-bj_l)/4*B]])\n",
    "    E[6],E[7] = linalg.eigvalsh(M4)\n",
    "    \n",
    "    return E\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "multiple-minnesota",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "B = np.linspace(0,1.5,100)\n",
    "E = np.array([E_frac12(i,\"s\") for i in B])\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(B,E)\n",
    "fig.set_size_inches((14,10))\n",
    "ax.set_title(r\"Rb87 $S_{\\frac{1}{2}}$ Situation\",fontsize=30)\n",
    "ax.set_xlabel(r\"B (T)\", fontsize = 23)\n",
    "ax.set_ylabel(r\"E/h (GHz)\", fontsize = 23)\n",
    "fig.savefig(\"Rb87_s_12.png\",dpi=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "clinical-level",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "B = np.linspace(0,0.5,100)\n",
    "E = np.array([E_frac12(i,\"p\") for i in B])\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(B,E)\n",
    "fig.set_size_inches((14,10))\n",
    "ax.set_title(r\"Rb87 $P_{\\frac{1}{2}}$ Situation\",fontsize=30)\n",
    "ax.set_xlabel(r\"B (T)\", fontsize = 23)\n",
    "ax.set_ylabel(r\"E/h (GHz)\", fontsize = 23)\n",
    "fig.savefig(\"Rb87_p_12.png\",dpi=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "advisory-defensive",
   "metadata": {},
   "source": [
    "## P_3/2 态\n",
    "$\\frac 32 \\otimes \\frac 32$\n",
    "同样由于 C-G 系数的特点，$H_{hfs}+H_B$ 是分块对角的，而且均为实数，即为实对称阵  \n",
    "为简略，**我们只写出上三角部分**  \n",
    "经过计算，有：\n",
    "$$\n",
    "M_1 = \n",
    "\\begin{bmatrix}\n",
    "\\frac94 A_h + \\frac1{16} B_h + \\frac32 (b_I + b_J)B & 0\\\\\n",
    " & \\frac94 A_h + \\frac1{16} B_h - \\frac32 (b_I + b_J)B \\\\\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "$$\n",
    "M_2 = \n",
    "\\begin{bmatrix}\n",
    "\\frac94 A_h + \\frac1{16} B_h + (b_I + b_J)B & \\frac12 (b_I - b_J)B\\\\\n",
    " & -\\frac34 A_h - \\frac3{16} B_h + (b_I + b_J)B \\\\\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "$$\n",
    "M_3 =  \n",
    "\\begin{bmatrix}\n",
    "\\frac94 A_h + \\frac1{16} B_h + \\frac12 (b_I + b_J)B & \\sqrt{\\frac25} (b_I - b_J)B & 0\\\\\n",
    " & -\\frac34 A_h - \\frac3{16} B_h + \\frac12 (b_I + b_J)B & \\sqrt{\\frac35} (b_I-b_J)B\\\\\n",
    "& & -\\frac{11}4 A_h + \\frac1{16} B_h + \\frac12 (b_I + b_J)B\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "$$\n",
    "M_4 =  \n",
    "\\begin{bmatrix}\n",
    "\\frac94 A_h + \\frac1{16} B_h  & \\frac3{\\sqrt{20}} (b_I - b_J)B & 0 & 0\\\\\n",
    " & -\\frac34 A_h - \\frac3{16} B_h  & \\frac2{\\sqrt{5}} (b_I-b_J)B & 0\\\\\n",
    "& & -\\frac{11}4 A_h + \\frac1{16} B_h & \\frac{\\sqrt{5}}2 (b_I-b_J)B\\\\\n",
    "& & & -\\frac{15}4 A_h + \\frac5{16} B_h\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "$$\n",
    "M_5 =  \n",
    "\\begin{bmatrix}\n",
    "\\frac94 A_h + \\frac1{16} B_h - \\frac12 (b_I + b_J)B & \\sqrt{\\frac25} (b_I - b_J)B & 0\\\\\n",
    " & -\\frac34 A_h - \\frac3{16} B_h - \\frac12 (b_I + b_J)B & \\sqrt{\\frac35} (b_I-b_J)B\\\\\n",
    "& & -\\frac{11}4 A_h + \\frac1{16} B_h - \\frac12 (b_I + b_J)B\n",
    "\\end{bmatrix}\n",
    "$$\n",
    "$$\n",
    "M_6 = \n",
    "\\begin{bmatrix}\n",
    "\\frac94 A_h + \\frac1{16} B_h - (b_I + b_J)B & \\frac12 (b_I - b_J)B\\\\\n",
    " & -\\frac34 A_h - \\frac3{16} B_h - (b_I + b_J)B \\\\\n",
    "\\end{bmatrix}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "essential-proportion",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# for P_3/2\n",
    "def E_frac32(B):\n",
    "    Ah_l = Ah[\"p_3/2\"]\n",
    "    Bh_l = Bh[\"p_3/2\"]\n",
    "    bj_l = bj[\"p_3/2\"]\n",
    "    \n",
    "    E = np.zeros(16)\n",
    "    E[0],E[1] = 9/4*Ah_l+Bh_l/16+3/2*(bi+bj_l)*B, 9/4*Ah_l+Bh_l/16-3/2*(bi+bj_l)*B\n",
    "    \n",
    "    # using eigenh lower part of mat\n",
    "    M2 = np.array([[9/4*Ah_l+Bh_l/16+(bi+bj_l)*B,(bi-bj_l)/2*B],\n",
    "                   [0,-3/4*Ah_l-3/16*Bh_l+(bi+bj_l)*B]])\n",
    "    E[2],E[3] = linalg.eigvalsh(M2,'U')\n",
    "    \n",
    "    M3 = np.array([[9/4*Ah_l+Bh_l/16+(bi+bj_l)/2*B, np.sqrt(2/5)*(bi-bj_l)*B,0],\n",
    "                  [0,-3/4*Ah_l-3/16*Bh_l+(bi+bj_l)/2*B,np.sqrt(3/5)*(bi-bj_l)*B],\n",
    "                  [0,0,-11/4*Ah_l+1/16*Bh_l+(bi+bj_l)/2*B]])\n",
    "    E[4],E[5],E[6] = linalg.eigvalsh(M3,'U')\n",
    "    \n",
    "    M4 = np.array([[9/4*Ah_l+Bh_l/16, 3/np.sqrt(20)*(bi-bj_l)*B,0,0],\n",
    "                  [0,-3/4*Ah_l-3/16*Bh_l,2/np.sqrt(5)*(bi-bj_l)*B,0],\n",
    "                  [0,0,-11/4*Ah_l+1/16*Bh_l,np.sqrt(5)/2*(bi-bj_l)*B],\n",
    "                  [0,0,0,-15/4*Ah_l+5/16*Bh_l]])\n",
    "    E[7],E[8],E[9],E[10] = linalg.eigvalsh(M4,'U')\n",
    "    \n",
    "    M5 = np.array([[9/4*Ah_l+Bh_l/16-(bi+bj_l)/2*B, np.sqrt(2/5)*(bi-bj_l)*B,0],\n",
    "                  [0,-3/4*Ah_l-3/16*Bh_l-(bi+bj_l)/2*B,np.sqrt(3/5)*(bi-bj_l)*B],\n",
    "                  [0,0,-11/4*Ah_l+1/16*Bh_l-(bi+bj_l)/2*B]])\n",
    "    E[11],E[12],E[13] = linalg.eigvalsh(M5,'U')\n",
    "    \n",
    "    M6 = np.array([[9/4*Ah_l+Bh_l/16-(bi+bj_l)*B,(bi-bj_l)/2*B],\n",
    "                   [0,-3/4*Ah_l-3/16*Bh_l-(bi+bj_l)*B]])\n",
    "    E[14],E[15] = linalg.eigvalsh(M6,'U') \n",
    "    \n",
    "    \n",
    "    \n",
    "    return E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "surrounded-timothy",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "B = np.linspace(0,0.05,100)\n",
    "E = np.array([E_frac32(i) for i in B])\n",
    "fig,ax = plt.subplots()\n",
    "ax.plot(B,E)\n",
    "fig.set_size_inches((14,10))\n",
    "ax.set_title(r\"Rb87 $P_{\\frac{3}{2}}$ Situation\",fontsize=30)\n",
    "ax.set_xlabel(r\"B (T)\", fontsize = 23)\n",
    "ax.set_ylabel(r\"E/h (GHz)\", fontsize = 23)\n",
    "fig.savefig(\"Rb87_p_32.png\",dpi=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "acute-marshall",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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